Problem preview

F-BF.3 Warmup M2-016-A14-V03

Analyze transformations of quadratic and absolute-value functions and identify even/odd functions.

Interpret a transformed quadratic or absolute-value function in context

Problem

Interpret \(D(x)=|x-60|\) when \(x\) is speed in miles per hour and \(D\) is speed deviation. Identify the target and vertex, explain the minimum and nonnegative range, justify the output units, and describe \(D(x)\) for speeds above and below \(60\).

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The minimum deviation is 60 miles per hour at a speed of 0 miles per hour, and deviation is never negative.

The minimum deviation is 0 miles per hour at a speed of 60 miles per hour, and deviation is never negative.

The maximum deviation is 0 miles per hour at a speed of 60 miles per hour, and deviation is never positive.

The minimum deviation is 0 miles per hour at a speed of 0 miles per hour, and the target speed is 0.

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Curriculum context

Course: Math II
Standard: F-BF.3
Category: Functions
Domain: Building Functions
Objective: Analyze transformations of quadratic and absolute-value functions and identify even/odd functions.
Problem type: Interpret a transformed quadratic or absolute-value function in context